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At a fair, 3 plates of nachos and 2 glasses of milkshake cost Rs 250, while 2 plates of nachos and 3 glasses of milkshake cost Rs 225. By how much (in Rs) does one plate of nachos cost more than one glass of milkshake?

Class 10Word Problems on Linear PairsAlgebra — Systems of Equations
  • A95
  • B25
  • C60
  • D35

Step-by-Step Solution

Let a plate cost Rs and a glass Rs and . Adding: , so . Subtracting: . (Then and ; check 180 + 70 = 250 and 120 + 105 = 225.) 95 is what one of each costs together, which comes from adding instead of subtracting; 60 and 35 are the two prices themselves, not the difference asked for.
Answer: B) 25

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